Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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12 × 2² - 18.4 + 0.6
\(30.2\)
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subtract. -6 - (-2) = 9 - (-2) =
$-6 - (-2) = -4$ $9 - (-2) = 11$
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8 + 6 - 2 × 2 - 3²
1
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5. $8 + 6 - 2 \\times 2 - 3^2$ 6. $4^2 \\div (3.2 \\times 2) + 1.6$
\(1\) ### Problem 6: \(4^2 \div [(3.2 \times 2) + 1.6]\)
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5. given ( f(x) = 1 - \frac{1}{4}x ). fill in the table and then sketch…
### Table (for \( f(x)=1-\frac{1}{4}x \)): | \( x \) | -6 | -3 | 0 | 1 | 4 | |--------|----|----|---|---|---| | \( f(x) \) | 2.5 | 1.75 | 1 | 0.75 | 0 | ### Domain: \( (-\infty, \…
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simplify to standard form \\sqrt{-10000} options: 100i, 10i, -10i, -100i
B. 100i (assuming the problem might have a typo and the radicand is - 10000 instead of - 100, or if the original problem's radicand is - 10000, then the answer is 100i. If we stri…
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2. find the square root. 169
$\pm 13$
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fluency board date - choose one fluency routine to write a short reflec…
$0.3$ 2. **$0.7 \times 0.08$**
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1. your parents ask for help reviewing last month’s spending. you disco…
a. $\$23.00$ b. 1. Use only in-network ATMs to avoid non-network withdrawal fees. 2. Track monthly transactions to stay under the limit and avoid extra transaction charges; mainta…
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what is the equation of the translated function, g(x), if f(x) = x²? ○ …
\( g(x)=(x + 4)^2+6 \) (the option corresponding to this equation)
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
# Explanation: ## Step1: Find x - intercepts (set y = 0) To find where the graph intersects the x - axis, we solve the equation \(x^{2}-4x + 3=0\). We can factor the quadratic equ…
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sketch the graph of the quadratic function $f(x) = x^2 - 4x + 3$, label…
- Vertex: \((2, - 1)\) - Axis of symmetry: \(x = 2\) - x - intercepts: \((1,0)\) and \((3,0)\) - y - intercept: \((0,3)\) - The graph is a parabola opening upward with the above -…
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
The key points are \( (1,0) \) (x - intercept), \( (3,0) \) (x - intercept), \( (2,-1) \) (vertex/minimum), \( (0,3) \), and \( (5,8) \). The graph is a parabola opening upward pa…
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consider the quadratic function $y = x^2 - 4x + 3$ for $0 \\leq x \\leq…
# Explanation: ## Step1: Find x - intercepts To find where the graph intersects the x - axis, we set \(y = 0\). So we solve the equation \(x^{2}-4x + 3=0\). We can factor the quad…
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read the excerpt from \sinners in the hands of an angry god.\ you will …
The correct option is: illustrate that this type of suffering is unimaginable.
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question 10 (3 points) graph the function: $f(x) = 2x^2 + 1$ on which i…
a. \((-\infty, 0)\)
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question 9 (3 points) graph the function: $f(x) = 2x^2 + 1$ on which in…
b. \( (0, \infty) \)
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question 8 (3 points) interval: (1, ∞) a increasing b decreasing c cons…
a. Increasing
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question 7 (3 points) interval: (-3, 1) a increasing b decreasing c con…
a. Increasing
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use the graph below to determine whether the function is increasing, de…
a. Increasing
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question 5 (1 point) graph the function: ( h(x) = x^3 + 2x^2 ) then det…
a. Increasing
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question 4 (1 point) graph the function: h(x) = x³ + 2x² then determine…
b. Decreasing
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question 3 (1 point) graph the function $h(x) = x^3 + 2x^2$ then determ…
a. increasing
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question 2 (3 points) graph the function: $f(x) = 2x^2 + 4x + 4$ then d…
a. Increasing
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question 1 (3 points) graph the function: $f(x) = 2x^2 + 4x + 4$ determ…
b. Decreasing
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$\\frac{5}{8} \\div 15$
$\frac{1}{24}$
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solve the following system of equations graphically on the set of axes …
The solution to the system is $(-3, 5)$
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solve the following system of equations graphically on the set of axes …
The solution (intersection point) is $(-6, 4)$
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business organizations and the us government directions: read each stat…
SP ### Question 2
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2. over what interval is the graph of $y = -|x - 2|$ increasing? a. $(2…
B. \((-\infty,2)\)
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now, find the product. 16 × 100 = ?
1600
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use what you know about multiplying by 10 to find 16 × 100. which expre…
$16 \times 10 \times 10$
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35 × 100 35 × 1,000
$35 \times 100 = 3500$ $35 \times 1,000 = 35000$
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y = -7x + 10 3x + 2y = 9 answer attempt 1 out of 9 (□,□) submit answer
\((1, 3)\)
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evaluate the function for the given value. f(x) = 11x - 5 for x = 0 f(0…
$-5$
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evaluate the function for the given value. f(x) = 5 - x for x = -3 f(-3…
$8$
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evaluate the function for the given value. f(x) = 2x + 7 for x = 8 f(8)…
23
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evaluate the function for the given value. f(x) = 5 - x for x = -7 f(-7…
12
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evaluate the function for the given value. $f(x) = -3x + 3$ for $x = -2…
9
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which is the graph of $f(x) = (x - 1)(x + 4)$? four graphs of parabolas…
The fourth graph (the one at the bottom left, the last graph) is the graph of \(f(x)=(x - 1)(x + 4)\).
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the graph of the function $f(x) = (x - 3)(x + 1)$ is shown. which descr…
all real values of \( x \) where \( x < -1 \)
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the function $f(x) = (x - 4)(x - 2)$ is shown. what is the range of the…
all real numbers greater than or equal to -1 (the option: all real numbers greater than or equal to -1)
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the graph of the function $f(x) = -(x + 6)(x + 2)$ is shown below. whic…
The function is increasing for all real values of \( x \) where \( x < - 4 \) (the first option: "The function is increasing for all real values of \( x \) where \( x < - 4 \)")
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the graph of the function $f(x) = (x + 2)(x + 6)$ is shown below. which…
The function is negative for all real values of \( x \) where \( -6 < x < -2 \) (the second option).
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which is the graph of $f(x) = -(x + 3)(x + 1)$? four graphs with option…
The second graph (the one with roots at \( x=-3 \) and \( x = - 1 \) and opening downward)
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write an equation of the line below.
$y=-2x+1$
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graph the following function on the axes provided. $f(x)=\\begin{cases}…
(Graph description: Left segment: line \(y=2x+5\) from \(x=-\infty\) to \(x=-1\) (closed dot at \((-1, 3)\)); Right segment: horizontal line \(y=-2\) from \(x=5\) to \(x=\infty\) …
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14. what was british north america’s response to the outbreak of war in…
14. British North America officially declared neutrality during the U.S. Civil War, though there was informal, limited support for the Confederacy from some groups; the war also h…
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graph the following function on the axes provided. $f(x)=\\begin{cases}…
(Graph description: Two line segments. First segment: dashed endpoints at (-4,3) and (1,0), solid line between them. Second segment: open circle at (1,-1), solid endpoint at (5,-9…
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graph the following function on the axes provided. $f(x)=\\begin{cases}…
(Graph description: Two line segments. First segment from (-3,1) to (0,4) (closed endpoints). Second segment from (0,7) (open endpoint) to (6,-5) (closed endpoint).)
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8. $2sqrt{128}$
\(16\sqrt{2}\)
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multiply. \\begin{array}{r} 1,378 \\\\ \\times\\ \\ \\ \\ \\ \\ \\ \\ 6…
8268
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multiply. \\begin{array}{r} 274 \\\\ \\times\\ \\ \\ \\ \\ \\ 3 \\\\ \\…
822
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add. 69 8,795 + 993
\(9857\)
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which equation is represented by the graph below? answer \\( y = 5|x - …
y = 5|x - 1| - 6
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6. what was the capital of this region? _______________. which joint - …
6. (Assuming the region is British Columbia) Victoria; Hudson's Bay Company 7. (Assuming the city is Victoria) English, Chinook Jargon, and French 8. British Columbia; alcohol sal…
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determine the domain of the following graph: answer attempt 1 out of 5 …
$[-11, -2]$
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if $\\theta$ is an angle in standard position and its terminal side pas…
\(-4\)
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13) find the slope of each line. 14) a coordinate grid with a line pass…
1
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find the value of $f(6)$. $y = f(x)$ (graph of a function with x-axis f…
-5
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find the value of $f(-4)$. $y = f(x)$ (graph of a piecewise linear func…
\(-3\)
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the function $f(x)$ is graphed below. what is true about the graph on t…
It is negative and decreasing (the fourth option: "It is negative and decreasing")
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the function $f(x)$ is graphed below. what is true about the graph on t…
It is negative and increasing (the option corresponding to "It is negative and increasing")
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determine the domain on which the following function is decreasing. gra…
\( (-\infty, -2) \)
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11) $y = \\frac{1}{3}x - 2$
The line $y=\frac{1}{3}x-2$ is graphed by plotting the y-intercept $(0, -2)$ and the point $(3, -1)$, then drawing a straight line through these points (extending in both directio…
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determine the domain on which the following function is decreasing. (a …
\([3,8]\)
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8) $f(x) = -|x + 5| + 1$; find $f(-8)$ $f(-8) = -|-8 + 5| + 1$
$-2$
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6) $f(x) = 2x - 3$; find $f(2)$
$1$
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write a cosine function that has a midline of $y = 4$, an amplitude of …
\( y = 2\cos(2x)+4 \)
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question given the graph of the function f below, determine all interva…
The function \( f(x) \) is concave down on the open interval \(\boldsymbol{(0, 9)}\) (assuming the graph's curvature analysis as described above. If there is a miscalculation, it'…
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find the solution to the system of equations. y = -3x + 2 y = 2x - 3 so…
$(1, -1)$
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write the equation of the line in fully simplified slope-intercept form.
$y = -6x - 1$
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11. what is the least common denominator to add $\frac{2}{9}+\frac{4}{1…
A. 45
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graph the following features: • y-intercept = -6 • slope = 2
The line $y=2x-6$ is graphed by plotting the y-intercept $(0, -6)$, using the slope to find a second point $(1, -4)$, then drawing a straight line through these points.
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graph the following features: • y-intercept = -4 • slope = 1/2
A line passing through the points $(0, -4)$ and $(2, -3)$ (and extending infinitely in both directions) on the provided coordinate grid.
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the differentiable function h and its derivative h are graphed. graph s…
B. \( h' \) crosses the \( x \)-axis from above it to below it at \( x = c \).
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let $f(x) = \\sqrt{x + 9}$ and let $c$ be the number that satisfies the…
D. 7
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let $h(x) = \\frac{e^{2x}}{x - 3}$ where does $h$ have critical points?…
C. \( x = 3.5 \)
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the second derivative of a function $h$ is given by $h(x) = \\frac{\\sq…
A. \( x = - 0.35 \)
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understanding free enterprise introduction sort the tiles to show the p…
### Possible Benefits: - better quality - freedom of choice - lower prices ### Possible Limitations: - need for consumer knowledge - lack of fair competition - potential for highe…
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let g be a twice differentiable function, and let $g(-1) = 4$, $g(-1) =…
A. \((-1, 4)\) is a minimum point.
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a. $5 + 0 = 0$ b. $15 \\cdot 0 = 0$ c. $1.4 + 2.7 = 4.1$ d. $\\frac{2}{…
B. $15 \cdot 0 = 0$, C. $1.4 + 2.7 = 4.1$, E. $4\frac{2}{3} = 5 - \frac{1}{3}$
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evaluate the limit: \\(\\lim\\limits_{x\\to 2} \\frac{x^2 - 7x + 10}{x …
\(-3\)
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use the four-step definition of the derivative to find $f(x)$ if $f(x) …
s: - \( f(x + h) = -3x^2 - 6xh - 3h^2 - 2x - 2h + 17 \) - \( f(x + h) - f(x) = -6xh - 3h^2 - 2h \) - \( \frac{f(x + h) - f(x)}{h} = -6x - 3h - 2 \) - \( f'(x) = -6x - 2 \)
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use the limit definition of the derivative to answer the following ques…
s: - Difference quotient: $\boldsymbol{6x + 3h}$ - $f'(x)$: $\boldsymbol{6x}$ - $f'(-2)$: $\boldsymbol{-12}$ - $f'(0)$: $\boldsymbol{0}$ - $f'(1)$: $\boldsymbol{6}$
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use the interactive graph below to sketch a graph of $y = -3\\log_{3}(1…
Vertical Asymptote: $x=1$ Key Points: $(-8, 0)$, $(0, 6)$ (or $(-2, 3)$ as an additional point) The graph increases from left to right, approaches $x=1$ (never crossing it), passe…
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look at the graph: graph of a hyperbola with x-axis from -10 to 10 and …
$y = -6$
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look at the graph: what is the equation of the vertical asymptote?
$x = 0$
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look at the graph: what is the equation of the horizontal asymptote?
$y = 0$
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look at the graph: graph of a function with vertical asymptote what is …
\( x = 0 \)
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look at the graph: graph of a function with a horizontal asymptote what…
\( y = 0 \)
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let $f(x) = \\frac{1}{|x|}$. can we use the mean value theorem to say t…
B. No, since the average rate of change of \( f \) over the interval \( 2 \leq x \leq 4 \) isn't equal to \( -\frac{1}{4} \).
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for questions 1 - 5, decide whether the equation is a trigonometric ide…
Yes, it is a trigonometric identity. Yes, it is a trigonometric identity. No, it is not a trigonometric identity. No, it is not a trigonometric identity. Yes, it is a trigonometri…
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lesson 4 reteach add and subtract unlike fractions to add or subtract f…
1. $\frac{5}{4}$ 2. $-\frac{1}{8}$ 3. $-\frac{11}{30}$ 4. $\frac{1}{15}$ 5. $\frac{5}{36}$ 6. $\frac{1}{6}$ 7. $\frac{29}{24}$ 8. $\frac{5}{18}$ 9. $\frac{53}{60}$ 10. $\frac{19}{…
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add. $-\frac{2}{9} + \frac{1}{3}$ write your answer in simplest form.
$\frac{1}{9}$
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the amount of money, $a(t)$, in a savings account that pays 6% interest…
The annual amount from year \(1\) to year \(3\) is increasing on average \(194.67\) dollars /year
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y = -\\frac{1}{3}x + 2, try again
To graph \(y =-\frac{1}{3}x+2\), plot the y - intercept \((0,2)\) (already done) and then use the slope \(-\frac{1}{3}\) to find another point (e.g., \((3,1)\) or \((-3,3)\)) and …
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choose the best answers. 2.1) ______ what was a major difference betwee…
2.1) B. Amending the Articles required all of the states' approval while amending the Constitution required approval from only nine states. 2.2) - Anti-Federalists opposed the con…
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a line passes through the point (4, 5) and has a slope of 6. write an e…
$y = 6x - 19$
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9. $y = -x + 7$ $y = x + 1$
The solution is \( x = 3 \), \( y = 4 \) (the point of intersection is \( (3, 4) \)).